2009 Fall Semester Geometry Final Test Review (multiple choice)
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1 2009 Fall Semester Geometry Final Test Review (multiple choice) 1. omplete the statement. If a transversal intersects two parallel lines, then. a. corresponding angles are supplementary b. same-side interior angles are complementary c. alternate interior angles are congruent d. none of these 2. How are and related? a. corresponding angles c. same-side interior angles b. alternate interior angles d. none of these 3. lassify by its angles, when m = 32, m = 85, and m = 63. a. right b. straight c. obtuse d. acute 4. The chips used in the board game MathFuries have the shape of hexagons. How many sides does each MathFuries chip have? a. 5 b. 6 c. 8 d Find the missing angle measures. The diagram is not to scale x y 65 a. x = 124, y = 125 c. x = 114, y = 56 b. x = 56, y = 114 d. x = 56, y = Supply the missing reasons to complete the proof. Given: and Prove: Q S R P T a. S; Substitution c. S; PT b. SS; PT d. S; PT 7. Which three lengths could be the lengths of the sides of a triangle? a. 12 cm, 5 cm, 17 cm c. 9 cm, 22 cm, 11 cm b. 10 cm, 15 cm, 24 cm d. 21 cm, 7 cm, 6 cm 8. D is a parallelogram. If then The diagram is not to scale. a. 125 b. 65 c. 75 d. 115 D Page 1 of 10
2 9. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL. O N a. x = 7, NM = 20, OL = 22 c. x = 7, NM = 22, OL = 22 b. x = 5, NM = 20, OL = 20 d. x = 5, NM = 22, OL = 20 L M 10. model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model? a. 18 : 1 b. 1 : 18 c. 9 : 6 d. 6 : re the triangles similar? If so, explain why. a. yes, by SS b. yes, by SSS c. yes, by d. no Find the value of w, then x. Round lengths of segments to the nearest tenth. 12 a. w = 13.3, x = 10.2 c. w = 13.3, x = 23.6 b. w = 10.8, x = 6.1 d. w = 10.8, x = 16.9 w x 13. Find the missing value to the nearest tenth. tan = 45 a b c d Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 5 mi/h. If Miguel heads directly west, what are the boat s resultant speed and direction? (Not drawn to scale) W 5 mi/h 13 mi/h N E a. 21 mi/h; 13.9 north of west b mi/h; 21 south of west c mi/h; 21 north of west d. 21 mi/h; 13.9 south of west S 15. Use an ordered pair to describe the translation that is 7 units to the left and 1 units down. a. b. c. d. 16. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth. a m 2 b m 2 c m 2 d. 288 m 2 Page 2 of 10
3 18. Find the volume of the shape a. 17 m b. 34 m c. 8.5 m d. 1 m 19. The circles are congruent. What can you conclude from the diagram? a. arc arc FDE c. arc arc DE b. arc DF arc d. none of these O ) ) P F 20. jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number cm 8 cm 11 cm D E a. 46 cm ; 222 cm c. 23 cm ; 310 cm b. 46 cm ; 310 cm d. 23 cm ; 222 cm 21. Find the surface area of the cylinder in terms of. 8 in. a. 688 in. b. 304 in. c. 176 in. d. 208 in. 11 in. 22. The lateral area of a cone is 103 cm. The radius is 37 cm. Find the slant height to the nearest tenth. a. 2.6 cm b. 1.7 cm c. 2.8 cm d. 1.5 cm Page 3 of 10
4 _23. Find the volume of the given prism. Round to the nearest tenth if necessary. 22 yd a yd b yd c yd d yd 15 yd 15 yd 15 yd 24. Find the volume of the cylinder in terms of, where h = 6 and r = 3 a. 27 in. b. 108 in. c. 54 in. d. 324 in. 25. The volume of a cylinder is 980 in.. The height of the cylinder is 20 in. What is the radius of the cylinder? a. 7 in. b. 49 in. c. 327 in. d. 18 in. 26. Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit. a. 1,767 cm b. 442 cm c. 236 cm d. 14,137 cm 15 cm 27. triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain. a. yes; c. no; b. no; d. yes; 28. triangle has side lengths of 8 cm, 15 cm, and 16 cm. lassify it as acute, obtuse, or right. a. obtuse b. right c. acute Page 4 of 10
5 29.Find the length of the hypotenuse. 45 a. 12 b. 6 c. 5 d Write the ratios for sin and cos. a. c. 4 5 b. d Find the value of x. Round to the nearest tenth. x a b. 10 c. 13 d Find the value of x. Round the length to the nearest tenth. a. 7.1 cm b cm c. 9.2 cm d. 8.4 cm x 11 cm Page 5 of 10
6 33. Find the value of x. Round the length to the nearest tenth. 15 m x a m b m c. 8.6 m d m 34. Find x 200 m x a m b m c m d m 35.. Find the value of x for p to be parallel to q. The diagram is not to scale a. 114 b. 126 c. 120 d. 20 p q 36. Find the values of x, y, and z. The diagram is not to scale. 38 a. c. b. d x z y 37. Find the value of x. The diagram is not to scale. 72 a. 33 b. 162 c. 147 d x Page 6 of 10
7 38. The Polygon ngle-sum Theorem states: The sum of the measures of the angles of an n-gon is. a. b. c. d. 39. omplete this statement. The sum of the measures of the exterior angles of an n-gon, one at each vertex, is. a. (n 2)180 b. 360 c. d. 180n 40. onstruct the line that is perpendicular to the given line through the given point. a. c. b. d. 41. Use the information given in the diagram. Tell why and a. Reflexive Property, Given b. Transitive Property, Reflexive Property c. Given, Reflexive Property d. Reflexive Property, Transitive Property D Page 7 of 10
8 42. Two triangles are congruent, find value of c a. 4 b. 5 c. 3 d. 38 g 38 b 5 d 4 f 3 e 52 c 43. Justify the last two steps of the proof. Given: and Prove: R S T Proof: Given Given U a. Symmetric Property of ; SSS c. Reflexive Property of ; SSS b. Reflexive Property of ; SS d. Symmetric Property of ; SS 44. an you use the S Postulate, the S Theorem, or both to prove the triangles congruent? a. either S or S c. S only b. S only d. neither 45. Find the length of the midsegment. The diagram is not to scale. a. 24 b. 0 c. 42 d x x + 44 Page 8 of 10
9 46. Q is equidistant from the sides of Find the value of x. The diagram is not to scale. a. 27 b. 3 c. 15 d. 30 T Q S (2x + 24) 30 R 47. bisects Find the value of x. The diagram is not to scale. E 8x + 42 F a. 23 b. 90 c. 30 d x D ) ) 30 G 48. What is the name of the segment inside the large triangle? a. perpendicular bisector c. median b. altitude d. midsegment 49. Write the contrapositive of the conditional statement illustrated by this Venn diagram. Dogs a. If an animal is not a poodle, then it is a dog. b. If an animal is not a dog, then it is a poodle. c. If an animal is not a poodle, then it is not a dog. d. If an animal is not a dog, then it is not a poodle. Poodles 50. Write the conditional statement illustrated by this Venn diagram. Mammals a. If an animal is a mammal, then it is a cow. b. If an animal is a cow, then it is a mammal. c. If an animal is a mammal, then it is not a cow. d. If an animal is a cow, then it is not a mammal. ows Page 9 of 10
10 51. Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. D a. 13 b. 26 c. 77 d P x 52. Find the measure of. (The figure is not drawn to scale.) a. 57 b c. 33 d. 114 O Write the standard equation for the circle. 53. center (2, 7), r = 4 a. (x 7) + (y 2) = 16 c. (x 2) + (y 7) = 16 b. (x 2) + (y 7) = 4 d. (x + 2) + (y + 7) = Find the center and radius of the circle with equation (x + 9) + (y + 5) = 64. a. center (5, 9); r = 8 c. center ( 9, 5); r = 64 b. center (9, 5); r = 64 d. center ( 9, 5); r = Write the standard equation of the circle in the graph. y a. (x + 3) + (y 2) = 9 c. (x 3) + (y + 2) = 18 b. (x 3) + (y + 2) = 9 d. (x + 3) + (y 2) = O 4 8 x 4 8 Page 10 of 10
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